(when possible)
Bell RingerBell Ringer
Name That PostulateName That Postulate
Angle – Side – Angle Postulate - If two angles and the included side of one
triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Angle-Side-Angle-Side-AngleAngle (ASA) (ASA)
1. A D
2. AB DE
3. B E
ABC DEF
B
A
C
E
D
F
included side
The side between two angles
Included SideIncluded Side
GI HI GH
Name the included side:
Y and E
E and S
S and Y
Included SideIncluded Side
SY
E
YE
ES
SY
Angle – Angle – Side Postulate - If two angles and a non-included side of one
triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Angle-Angle-Side (AAS)Angle-Angle-Side (AAS)
1. A D
2. B E
3. BC EF
ABC DEF
B
A
C
E
D
F
Non-included
side
Warning:Warning: No SSA Postulate No SSA Postulate
A C
B
D
E
F
NOT CONGRUENT
There is no such thing as an SSA
postulate!
Warning:Warning: No AAA Postulate No AAA Postulate
A C
B
D
E
F
There is no such thing as an AAA
postulate!
NOT CONGRUENT
Name That PostulateName That Postulate
SASSASASAASA
SSSSSSSSASSA
(when possible)
Let’s PracticeLet’s PracticeIndicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
B D
For AAS: A F
AC FE
You try!You try!Indicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
For AAS: